- Chapter 1:
- Chapter 10:
- Chapter 11:
- Chapter 12:
- Chapter 13:
- Chapter 2:
- Chapter 3:
- Chapter 4:
- Chapter 5:
- Chapter 6:
- Chapter 7:
- Chapter 8:
- Chapter 9:
Precalculus: Mathematics for Calculus 6th Edition - Solutions by Chapter
Full solutions for Precalculus: Mathematics for Calculus | 6th Edition
Inverse cosecant function
The function y = csc-1 x
Inverse of a matrix
The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.
See Numerical derivative of ƒ at x = a.
Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.
sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u
tan ?= sin ?cos ?and cot ?= cos ? sin ?
Numbers that can be written as a/b, where a and b are integers, and b ? 0.
Reflection through the origin
x, y and (-x,-y) are reflections of each other through the origin.
Right circular cone
The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.
Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.
Set of all possible outcomes of an experiment.
A real number.
Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true
Solve by elimination or substitution
Methods for solving systems of linear equations.
The magnitude of the velocity vector, given by distance/time.
Stretch of factor c
A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.
Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.
Term of a polynomial (function)
An expression of the form anxn in a polynomial (function).
Trigonometric form of a complex number
r(cos ? + i sin ?)
Vertices of a hyperbola
The points where a hyperbola intersects the line containing its foci.